Collada .dae File rendering
Collada has very limited support for materials. The file format still uses the old Blinn, Phong lighting interaction formulas. Blender supports far mature material models that cannot be exported using Collada. Note that Collada was last updated in 2008, more then 10 years ago).

It is possible to extend collada to support different material models, but that only works as both applications (exporter in Blender and importer in other application) implement this extension. This is very difficult to maintain and therefore the extensions are really not useful at all.

An better option (if supported) is to use glTF. this is a file format that was created to supersees Collada and has far better material handling.